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Finding the Fourth Proportional to 4,600.36, 6,895.74 and 2,133.15

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Solution

The fourth proportional to 4,600.36, 6,895.74 and 2,133.15 is: 3,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.36 : 6,895.74 = 2,133.15 : x
  2. Step 2: Convert to fraction form
    4,600.36/6,895.74 = 2,133.15/x
  3. Step 3: Cross multiply
    4,600.36x = 6,895.74 × 2,133.15
  4. Step 4: Simplify right side
    4,600.36x = 14,709,647.78
  5. Step 5: Solve for x
    x = 14,709,647.78/4,600.36
  6. Step 6: Final answer
    x = 3,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.